10131000313 has 8 divisors (see below), whose sum is σ = 11684509760. Its totient is φ = 8604046800.

The previous prime is 10131000289. The next prime is 10131000323. The reversal of 10131000313 is 31300013101.

It is a happy number.

10131000313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10131000313 - 2¹⁷ = 10130869241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10131000293 and 10131000302.

It is not an unprimeable number, because it can be changed into a prime (10131000323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6638163 + ... + 6639688.

It is an arithmetic number, because the mean of its divisors is an integer number (1460563720).

Almost surely, 2^10131000313 is an apocalyptic number.

It is an amenable number.

10131000313 is a deficient number, since it is larger than the sum of its proper divisors (1553509447).

10131000313 is a wasteful number, since it uses less digits than its factorization.

10131000313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13277967.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10131000313 its reverse (31300013101), we get a palindrome (41431013414).

The spelling of 10131000313 in words is "ten billion, one hundred thirty-one million, three hundred thirteen", and thus it is an aban number.